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8.[(Optional) Ensemble-Averaged Bubble Model Parameters](#8-ensemble-averaged-bubble-model)
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9.[(Optional) Velocity Field Setup Parameters](#9-velocity-field-setup)
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Items 7and 8 are optional sets of parameters that activate the acoustic source model and ensemble-averaged bubble model, respectively.
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Items 7, 8, and 9 are optional sets of parameters that activate the acoustic source model, ensemble-averaged bubble model, and initial velocity field setup, respectively.
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Definition of the parameters is described in the following subsections.
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### 1. Runtime
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|`fourier_decomp`| Logical | Apply a spatial Fourier decomposition to the output variables |
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|`alpha_rho_wrt(i)`| Logical | Add the partial density of the fluid $i$ to the database \|
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|`alpha_rho_wrt(i)`| Logical | Add the partial density of the fluid $i$ to the database |
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|`rho_wrt`| Logical | Add the mixture density to the database |
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|`mom_wrt(i)`| Logical | Add the $i$-direction momentum to the database |
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|`vel_wrt(i)`| Logical | Add the $i$-direction velocity to the database |
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|`alpha_wrt(i)`| Logical | Add the volume fraction of fluid $i$ to the database |
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|`gamma_wrt`| Logical | Add the specific heat ratio function to the database |
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|`heat_ratio_wrt`| Logical | Add the specific heat ratio to the database |
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|`pi_inf_wrt`| Logical | Add the liquid stiffness function to the database \|
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|`pi_inf_wrt`| Logical | Add the liquid stiffness function to the database |
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|`pres_inf_wrt`| Logical | Add the liquid stiffness to the formatted database |
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|`c_wrt`| Logical | Add the sound speed to the database |
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|`omega_wrt(i)`| Logical | Add the $i$-direction vorticity to the database |
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|`schlieren_wrt`| Logical | Add the numerical schlieren to the database|
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|`qm_wrt`| Logical | Add the Q-criterion to the database|
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|`fd_order`| Integer | Order of finite differences for computing the vorticity and the numerical Schlieren function [1,2,4]|
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|`schlieren_alpha(i)`| Real | Intensity of the numerical Schlieren computed via `alpha(i)`|
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|`probe_wrt`| Logical | Write the flow chosen probes data files for each time step |
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`gamma_v`, `M_v`, `mu_v`, and `k_v` specify the specific heat ratio, molecular weight, viscosity, and thermal conductivity of a chosen component.
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Implementation of the parameterse into the model follow [Ando (2010)](references.md#Ando10).
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### 9. Velocity Field Setup
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| Parameter | Type | Description |
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| ---: | :----: | :--- |
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|`perturb_flow`| Logical | Perturb the initlal velocity field by random noise |
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|`perturb_sph`| Logical | Perturb the initial partial density by random noise |
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|`perturb_sph_fluid`| Integer | Fluid component whose partial density to be perturbed |
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|`vel_profile`| Logical | Set the mean streamwise velocity to hyperbolic tangent profile |
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|`instability_wave`| Logical | Perturb the initial velocity field by instability waves |
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The table lists velocity field parameters. The parameters are optionally used to define initial velocity profiles and perturbations.
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-`perturb_flow` activates the perturbation of initial velocity by random noise.
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-`perturb_sph` activates the perturbation of intial partial density by random noise.
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-`perturb_sph_fluid` specifies the fluid component whose the partial density to be perturbed.
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-`vel_profile` activates setting the mean streamwise velocity to hyperbolic tangent profile. This option works only for 2D and 3D cases.
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-`instability_wave` activates the perturbation of initial velocity by instability waves obtained from linear stability analysis for a mixing layer with hyperbolic tangent mean streamwise velocity profile. This option only works for 2D and 3D cases, together with `vel_profile`=TRUE.
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